GCD of 100, 154, 636, 390 Calculator

Given Input numbers are 100, 154, 636, 390

In the factoring method, we have to find the divisors of all numbers

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (100, 154, 636, 390) = 2.

Given numbers are 100, 154, 636, 390

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 154 are 2 x 7 x 11

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 390 are 2 x 3 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 100, 154, 636, 390 is 2.

Given numbers are 100, 154, 636, 390

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(100, 154) = 7700

GCD(100, 154) = ( 100 x 154 ) / 7700

= 100 / 154

= 100

Step2:

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

= 2 / 636

= 2

Step3:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2

So, Greatest Common Divisor of 100, 154, 636, 390 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 517, 395, 150, 971
• GCD of 302, 388, 608, 492
• GCD of 251, 595, 563, 771
• GCD of 271, 377, 130, 205
• GCD of 367, 915, 236, 591

Given numbers are 100, 154, 636, 390
The greatest common divisor of numbers 100, 154, 636, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 154, 636, 390 is 2.

1. What is the GCD of 100, 154, 636, 390?

GCD of given numbers 100, 154, 636, 390 is 2

2. How to calculate the greatest common divisor of 100, 154, 636, 390?

We can find the highest common divisor of 100, 154, 636, 390 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 100, 154, 636, 390 i.e 2.

3. How can I use the GCD of 100, 154, 636, 390Calculator?

Out the numbers 100, 154, 636, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.